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Synchronization of Chaotic Fractional Chen System
Journal of the Physical Society of Japan, 2005The complete synchronization of two coupled Chen's systems with fractional derivatives is studied. The driven Chen's system has the form \[ \frac{d^{q_1}x_m}{dt^{q_1}} = a(y_m-x_m), \] \[ \frac{d^{q_2}y_m}{dt^{q_2}} = (c-a)x_m -x_m z_m +c y_m, \] \[ \frac{d^{q_3}z_m}{dt^{q_3}} = x_m y_m -b z_m, \] the response system reads \[ \frac{d^{q_1}x_s}{dt^{q_1}}
Weihua Deng, Changpin Li, Li Changpin
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Pseudorandom sequence generator based on the Chen chaotic system
Computer Physics Communications, 2013Abstract In this paper, the Chen chaotic system is proposed as a pseudorandom sequence generator. A new algorithm is created to solve the problem of non-uniform distribution of the sequence generated by the Chen chaotic system. Statistical tests and security analysis show that it has good pseudorandom characteristics and is highly capable of ...
Lingfeng Liu, Hanping Hu
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Controllability and stability of the perturbed Chen chaotic dynamical system
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongwimon Lenbury, Piyapong Niamsup
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Mechanical analysis of Chen chaotic system
Chaos, Solitons and Fractals, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guoyuan Qi
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Adaptive synchronization of Chen chaotic system with uncertain parameters
Journal of China Universities of Posts and Telecommunications, 2007Abstract By the control method independent of system parameters, synchronization of two Chen chaotic systems with identical, but uncertain parameters is discussed in this article. Based on Lyapunov's theorem, an adaptive controller and the parameters estimate update law are derived to make the solution of the error dynamical equation converge at the ...
Yu-liang LIU, Jie ZHU, Da-wei DING
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Complex Dynamical Behaviors of the Chaotic Chen's System
International Journal of Bifurcation and Chaos, 2003In this paper, the complex dynamical behaviors of the chaotic trajectories of Chen's system are analyzed in detail, with its precise bound derived for the first time. In particular, it is rigorously proved that all nontrivial trajectories of the system always travel alternatively through two specific Poincaré projections for infinitely many times.
Tianshou Zhou, Yun Tang, Guanrong Chen
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Modification for synchronization of Rossler and Chen chaotic systems
Physics Letters A, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zhi, Han, Chongzhao, Shi, Songjiao
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Adaptive Synchronization of Delayed Chen Chaotic System
The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity, 2014Summary: In this paper, we focus on the adaptive synchronization of delayed Chen chaotic systems with unknown parameters. An adaptive synchronization controller and the adaptive updating law are designed. At last, the numerical simulation is shown to prove the effectiveness of the proposed synchronization controller schemes.
Fan, Tao +3 more
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ON IMPULSIVE CONTROL AND ITS APPLICATION TO CHEN'S CHAOTIC SYSTEM
International Journal of Bifurcation and Chaos, 2002In this paper, impulsive control of nonlinear systems and its application to Chen's chaotic system are considered. A new impulsive control method for chaos suppression, using Chen's system as an example, is developed. Some new general criteria for exponential stability and asymptotical stability of nonlinear impulsive systems are established and ...
Zhi-Hong Guan +3 more
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Passive control of chen chaotic system
Fifth World Congress on Intelligent Control and Automation (IEEE Cat. No.04EX788), 2004Control chaos of the Chen chaotic system was discussed by using the passive control theory. With the study of the property of passive system, the essential conditions under which the Chen chaotic system could be equivalent to a passive system via smooth state feedback were derived. It was found that the new system transformed by the Chen chaotic system,
null Donglian Qi +2 more
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